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Critical ValueFor the survey described in Exercise 1 鈥淐elebrities and the Law,鈥 find the critical value that would be used for constructing a 99% confidence interval estimate of the population proportion.

Short Answer

Expert verified

The critical value that would be used for constructing a 99% confidence is 2.576.

Step by step solution

01

Given information

The level of confidence is 99%.

02

Compute the critical value

The level of confidence (CL) is 99%.

The level of significance is obtained as follows:

=1-CL=1-0.99=0.01

Using the Z table, the two-tailed critical value obtained at 0.01 level of significance is 2.576.

Therefore, the critical value is z = 2.576.

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Most popular questions from this chapter

Chickenpox : You plan to conduct a survey to estimate the percentage of adults who have had chickenpox. Find the number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults.

a. Assume that nothing is known about the prevalence of chickenpox.

b. Assume that about 95% of adults have had chickenpox.

c. Does the added knowledge in part (b) have much of an effect on the sample size?

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a. 12, 19, 13, 43, 15

b. 12, 19, 15

c. 12, 12, 12, 43, 43

d. 14, 20, 12, 19, 15

e. 12, 13, 13, 12, 43, 15, 19

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A sociologist plans to conduct a survey to estimate the percentage of adults who believe in astrology. How many people must be surveyed if we want a confidence level of 99% and a margin of error of four percentage points?

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